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Finding the Fourth Proportional to 3,839.22, 5,757.28 and 1,498.90

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Solution

The fourth proportional to 3,839.22, 5,757.28 and 1,498.90 is: 2,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.22 : 5,757.28 = 1,498.90 : x
  2. Step 2: Convert to fraction form
    3,839.22/5,757.28 = 1,498.90/x
  3. Step 3: Cross multiply
    3,839.22x = 5,757.28 × 1,498.90
  4. Step 4: Simplify right side
    3,839.22x = 8,629,550.71
  5. Step 5: Solve for x
    x = 8,629,550.71/3,839.22
  6. Step 6: Final answer
    x = 2,247.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.